Physics – Condensed Matter – Disordered Systems and Neural Networks
Scientific paper
2010-05-28
Phys. Rev. E, 2010, 81, 011130 (2010)
Physics
Condensed Matter
Disordered Systems and Neural Networks
11 RevTeX pages, 7 figures
Scientific paper
10.1103/PhysRevE.81.011130
Monte Carlo simulations of the short-time dynamic behavior are reported for three-dimensional weakly site-diluted Ising model with spin concentrations $p=0.95$ and 0.8 at criticality. In contrast to studies of the critical behavior of the pure systems by the short-time dynamics method, our investigations of site-diluted Ising model have revealed three stages of the dynamic evolution characterizing a crossover phenomenon from the critical behavior typical for the pure systems to behavior determined by the influence of disorder. The static and dynamic critical exponents are determined with the use of the corrections to scaling for systems starting separately from ordered and disordered initial states. The obtained values of the exponents demonstrate a universal behavior of weakly site-diluted Ising model in the critical region. The values of the exponents are compared to results of numerical simulations which have been obtained in various works and, also, with results of the renormalization-group description of this model.
Krinitsyn Aleksandr S.
Pospelov Evgenii A.
Prudnikov Pavel V.
Prudnikov Vladimir V.
Vakilov Andrei N.
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